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Finding the Fourth Proportional to 15,920.42, 21,963.76 and 9,621.86

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Solution

The fourth proportional to 15,920.42, 21,963.76 and 9,621.86 is: 13,274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.42 : 21,963.76 = 9,621.86 : x
  2. Step 2: Convert to fraction form
    15,920.42/21,963.76 = 9,621.86/x
  3. Step 3: Cross multiply
    15,920.42x = 21,963.76 × 9,621.86
  4. Step 4: Simplify right side
    15,920.42x = 211,332,089.92
  5. Step 5: Solve for x
    x = 211,332,089.92/15,920.42
  6. Step 6: Final answer
    x = 13,274.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.